In the K-meleon menu, we have File-View-Edit-Session-Tools.... I would suggest putting a "Session icon button" that does the same instead of a menu item, it just is a waste of space in the menu or put it in the Tools menu or something.

First step: Save As - to a place you'll find easily, as a backup, in case anything goes wrong.

Second step: Try to understand that file. Read the top and the bottommost part.
Look for the order of the Bars & Buttons.
Mind the braces! There's an opening AND a closing one for every Button,
PLUS a COMMON pair enclosing ALL buttons of each toolbar.

If you end up having lost any buttons or toolbars, check for the braces first.

Nice! I was rather lost with an icon pic, but the back icon may not be that bad really
A little detail not to forget, the number of image lines (versions for hot/cold/dead state) must be the same as the neighbor buttons inside the chosen toolbar.

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c) To remove the "Sessions" from the main menu, open
Edit > Configuration > Menus
Add this blue text (e.g. at the end):

# Little bug: Changing the MAIN menu line doesn't work here if a macro contains rebarmenu stuff
# So if this doesn't work, copy the lines below to defaults/settings/menus.cfg

Thank you SoerenB, Siria and desga2 for your replies. I have made the changes and it works just as good. I even read something similar in another post. All I need to do now is create an icon and then I should be in business. Thank you.